Answer: Given. The sum of first three terms is 21 Assume, the first three terms as a – d, a, a + d [where a is the first term and d is the common difference] Sum of first three terms is a – d + a +...
Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers
Answer: Given, Sum of first three terms is 27 Assume, the first three terms as a – d, a, a + d [where a is the first term and d is the common difference] Sum of first three terms is a – d + a + a +...
Find the four numbers in A.P., whose sum is 50 and in which the greatest number is 4 times the least.
Answer: Given, Sum of four terms is 50. Assume these four terms as a – 3d, a – d, a + d, a + 3d Sum of these terms - 4a = 50 a = 50/4 = 25/2 … (i) It is also given that the greatest number is 4 time...
The sum of three numbers in A.P. is 12, and the sum of their cubes is 288. Find the numbers.
Answer: Given, Sum of three numbers = 12 Assume the numbers in AP are a – d, a, a + d 3a = 12 a = 4 It is also given that the sum of their cube is 288 (a – d)3 + a3 + (a + d)3 = 288 a3 – d3 – 3ad(a...
If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers.
Answer: Given, Sum of first three terms is 24 Assume the first three terms are a – d, a, a + d [where a is the first term and d is the common difference] Sum of first three terms is a – d + a + a +...
The angles of a quadrilateral are in A.P. whose common difference is 10. Find the angles
Answer: Given, d = 10 Sum of all angles in a quadrilateral = 360 Assume the angles are a – 3d, a – d, a + d, a + 3d a – 2d + a – d + a + d + a + 2d = 360 4a = 360 a = 90… (i) (a – d) – (a –...